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LCM of 217, 899, 932, 672

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 217, 899, 932, 672 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 217, 899, 932, 672. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 217,899,932,672

Given numbers are 217,899,932,672

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 217,899,932,672 is 140761824.

Find LCM of 217,899,932,672 with Prime Factorization


2 217, 899, 932, 672
2 217, 899, 466, 336
7 217, 899, 233, 168
31 31, 899, 233, 24
1, 29, 233, 24

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 7 x 31 x 1 x 29 x 233 x 24 = 140761824

Therefore, the lowest common multiple of 217,899,932,672 is 140761824.

LCM Formula to Find Lowest Common Multiple of 217,899,932,672

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

217 x 899 x 932 x 672 = 122181263232

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

217 : 1, 7, 31, 217

899 : 1, 29, 31, 899

932 : 1, 2, 4, 233, 466, 932

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,899,932,672, is 1.

Now, the common factors can be found like this.

217:7x 31

899:29x 31

932:2x 2x 233

672:2x 2x 2x 2x 2x 3x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 7x 31 = 868

Therefore, the value for common factors is 868.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 122181263232/(1x868)

LCM = 122181263232/868

LCM = 140761824

Thus, we can understand that the LCM of 217,899,932,672 is 140761824.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 217, 899, 932, 672

1. What is the LCM of 217, 899, 932, 672?

Answer: LCM of 217, 899, 932, 672 is 140761824.

2. How to calculate the LCM of 217, 899, 932, 672?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 217, 899, 932, 672.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.